Monotone iterative method for differential systems with coupled integral boundary value problems

Boundary value problems

Yumei Zou¹  Yujun Cui² 

[1] Department of Mathematics, Shandong University of Science and Technology, Qingdao, P.R. China;School of Mathematical Sciences, Qufu Normal University, Qufu, P.R. China

关键词: monotone iterative technique;    upper and lower solutions;    coupled integral boundary conditions;    Fredholm theorem;   

DOI  :  10.1186/1687-2770-2013-245

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By establishing a comparison result and using the method of upper and lower solutions and the monotone iterative technique, we investigate the differential systems with coupled integral boundary value problems. Sufficient conditions are established for the existence of an extremal system of solutions of the given problem. MSC:34B15.

【 授权许可】

CC BY